LeetCode 453. 最小移动次数使数组元素相等

题目描述:

解法一(暴力法):

class Solution {
public:
    int minMoves(vector<int>& nums) {
        int res=0;
        int mmax=0,mmin=0;
        while(1){
            for(int i=0;i<nums.size();i++){
                if(nums[i]>nums[mmax])
                    mmax=i;
                if(nums[i]<nums[mmin])
                    mmin=i;
            }
            if(nums[mmin]==nums[mmax])
                break;
            for(int i=0;i<nums.size();i++){
                if(i!=mmax)
                    nums[i]++;
            }
            res++;
        }
        return res;
    }
};

解法二(改进暴力法):

class Solution {
public:
    int minMoves(vector<int>& nums) {
        int res = 0;
        int mmax = 0, mmin = 0;
        while (1) {
            for (int i = 0; i<nums.size(); i++) {
                if (nums[i]>nums[mmax])
                    mmax = i;
                if (nums[i]<nums[mmin])
                    mmin = i;
            }
            if (nums[mmin] == nums[mmax])
                break;
            int dis = nums[mmax] - nums[mmin];
            for (int i = 0; i<nums.size(); i++) {
                if (i != mmax)
                    nums[i] += dis;
            }
            res += dis;
        }
        return res;
    }
};

解法三:

class Solution {
public:
    int minMoves(vector<int>& nums) {
        int res=0;
        sort(nums.begin(),nums.end());
        for(int i=1;i<nums.size();i++){
            res+=nums[i]-nums[0];
        }
        return res;
    }
};

class Solution {
public:
    int minMoves(vector<int>& nums) {
        int res=0,min=0;
        for(int i=1;i<nums.size();i++){
            if(nums[i]<nums[min])
                min=i;
        }
        for(int i=0;i<nums.size();i++){
            res+=nums[i]-nums[min];
        }
        return res;
    }
};

解法四(动态规划):

class Solution {
public:
    int minMoves(vector<int>& nums) {
        int moves=0;
        sort(nums.begin(),nums.end());
        for(int i=1;i<nums.size();i++){
            int diff=nums[i]+moves-nums[i-1];
            nums[i]+=moves;
            moves+=diff;
        }
        return moves;
    }
};


class Solution {
public:
    int minMoves(vector<int>& nums) {
        int moves=0;
        sort(nums.begin(),nums.end());
        for(int i=1;i<nums.size();i++){
            nums[i]+=moves;
            int diff=nums[i]-nums[i-1];
            moves+=diff;
        }
        return moves;
    }
};

参考:https://leetcode-cn.com/problems/minimum-moves-to-equal-array-elements/solution/zui-xiao-yi-dong-ci-shu-shi-shu-zu-yuan-su-xiang-d/

posted @ 2019-09-01 19:41  DH_HUSTer  阅读(15)  评论(0编辑  收藏  举报